tablice rozkładu t Studenta
Transkrypt
tablice rozkładu t Studenta
Tablice rozkładu t-Studenta α k 1 2 3 4 5 0,900 0,158 0,142 0,137 0,134 0,132 0,800 0,325 0,289 0,277 0,271 0,267 0,700 0,510 0,445 0,424 0,414 0,408 0,600 0,727 0,617 0,584 0,569 0,559 0,500 1,000 0,816 0,765 0,741 0,727 0,400 1,376 1,061 0,978 0,941 0,920 0,300 1,963 1,386 1,250 1,190 1,156 0,200 3,078 1,886 1,638 1,533 1,476 0,100 6,314 2,920 2,353 2,132 2,015 0,090 7,026 3,104 2,471 2,226 2,098 0,080 7,916 3,320 2,605 2,333 2,191 0,070 0,060 0,050 0,040 0,030 0,020 0,010 0,001 9,058 10,579 12,706 15,895 21,205 31,821 63,657 636,619 3,578 3,896 4,303 4,849 5,643 6,965 9,925 31,599 2,763 2,951 3,182 3,482 3,896 4,541 5,841 12,924 2,456 2,601 2,776 2,999 3,298 3,747 4,604 8,610 2,297 2,422 2,571 2,757 3,003 3,365 4,032 6,869 6 7 8 9 10 0,131 0,130 0,130 0,129 0,129 0,265 0,263 0,262 0,261 0,260 0,404 0,402 0,399 0,398 0,397 0,553 0,549 0,546 0,543 0,542 0,718 0,711 0,706 0,703 0,700 0,906 0,896 0,889 0,883 0,879 1,134 1,119 1,108 1,100 1,093 1,440 1,415 1,397 1,383 1,372 1,943 1,895 1,860 1,833 1,812 2,019 1,966 1,928 1,899 1,877 2,104 2,046 2,004 1,973 1,948 2,201 2,136 2,090 2,055 2,028 2,313 2,241 2,189 2,150 2,120 2,447 2,365 2,306 2,262 2,228 2,612 2,517 2,449 2,398 2,359 2,829 2,715 2,634 2,574 2,527 3,143 2,998 2,896 2,821 2,764 3,707 3,499 3,355 3,250 3,169 5,959 5,408 5,041 4,781 4,587 11 12 13 14 15 0,129 0,128 0,128 0,128 0,128 0,260 0,259 0,259 0,258 0,258 0,396 0,395 0,394 0,393 0,393 0,540 0,539 0,538 0,537 0,536 0,697 0,695 0,694 0,692 0,691 0,876 0,873 0,870 0,868 0,866 1,088 1,083 1,079 1,076 1,074 1,363 1,356 1,350 1,345 1,341 1,796 1,782 1,771 1,761 1,753 1,859 1,844 1,832 1,821 1,812 1,928 1,912 1,899 1,887 1,878 2,007 1,989 1,974 1,962 1,951 2,096 2,076 2,060 2,046 2,034 2,201 2,179 2,160 2,145 2,131 2,328 2,303 2,282 2,264 2,249 2,491 2,461 2,436 2,415 2,397 2,718 2,681 2,650 2,624 2,602 3,106 3,055 3,012 2,977 2,947 4,437 4,318 4,221 4,140 4,073 16 17 18 19 20 0,128 0,128 0,127 0,127 0,127 0,258 0,257 0,257 0,257 0,257 0,392 0,392 0,392 0,391 0,391 0,535 0,534 0,534 0,533 0,533 0,690 0,689 0,688 0,688 0,687 0,865 0,863 0,862 0,861 0,860 1,071 1,069 1,067 1,066 1,064 1,337 1,333 1,330 1,328 1,325 1,746 1,740 1,734 1,729 1,725 1,805 1,798 1,792 1,786 1,782 1,869 1,862 1,855 1,850 1,844 1,942 1,934 1,926 1,920 1,914 2,024 2,015 2,007 2,000 1,994 2,120 2,110 2,101 2,093 2,086 2,235 2,224 2,214 2,205 2,197 2,382 2,368 2,356 2,346 2,336 2,583 2,567 2,552 2,539 2,528 2,921 2,898 2,878 2,861 2,845 4,015 3,965 3,922 3,883 3,850 21 22 23 24 25 k 0,127 0,127 0,127 0,127 0,127 0,900 0,257 0,256 0,256 0,256 0,256 0,800 0,391 0,390 0,390 0,390 0,390 0,700 0,532 0,532 0,532 0,531 0,531 0,600 0,686 0,686 0,685 0,685 0,684 0,500 0,859 0,858 0,858 0,857 0,856 0,400 1,063 1,061 1,060 1,059 1,058 0,300 1,323 1,321 1,319 1,318 1,316 0,200 1,721 1,717 1,714 1,711 1,708 0,100 1,777 1,773 1,770 1,767 1,764 0,090 1,840 1,835 1,832 1,828 1,825 0,080 1,909 1,905 1,900 1,896 1,893 0,070 1,988 1,983 1,978 1,974 1,970 0,060 2,080 2,074 2,069 2,064 2,060 0,050 2,189 2,183 2,177 2,172 2,167 0,040 2,328 2,320 2,313 2,307 2,301 0,030 2,518 2,508 2,500 2,492 2,485 0,020 2,831 2,819 2,807 2,797 2,787 0,010 3,819 3,792 3,768 3,745 3,725 0,001 k 26 27 28 29 30 0,900 0,127 0,127 0,127 0,127 0,127 0,800 0,256 0,256 0,256 0,256 0,256 0,700 0,390 0,389 0,389 0,389 0,389 0,600 0,531 0,531 0,530 0,530 0,530 0,500 0,684 0,684 0,683 0,683 0,683 0,400 0,856 0,855 0,855 0,854 0,854 0,300 1,058 1,057 1,056 1,055 1,055 0,200 1,315 1,314 1,313 1,311 1,310 0,100 1,706 1,703 1,701 1,699 1,697 0,090 1,761 1,758 1,756 1,754 1,752 0,080 1,822 1,819 1,817 1,814 1,812 0,070 1,890 1,887 1,884 1,881 1,879 0,060 1,967 1,963 1,960 1,957 1,955 0,050 2,056 2,052 2,048 2,045 2,042 0,040 2,162 2,158 2,154 2,150 2,147 0,030 2,296 2,291 2,286 2,282 2,278 0,020 2,479 2,473 2,467 2,462 2,457 0,010 2,779 2,771 2,763 2,756 2,750 0,001 3,707 3,690 3,674 3,659 3,646 31 32 33 34 35 0,127 0,127 0,127 0,127 0,127 0,256 0,255 0,255 0,255 0,255 0,389 0,389 0,389 0,389 0,388 0,530 0,530 0,530 0,529 0,529 0,682 0,682 0,682 0,682 0,682 0,853 0,853 0,853 0,852 0,852 1,054 1,054 1,053 1,052 1,052 1,309 1,309 1,308 1,307 1,306 1,696 1,694 1,692 1,691 1,690 1,750 1,748 1,747 1,745 1,744 1,810 1,808 1,806 1,805 1,803 1,877 1,875 1,873 1,871 1,869 1,952 1,950 1,948 1,946 1,944 2,040 2,037 2,035 2,032 2,030 2,144 2,141 2,138 2,136 2,133 2,275 2,271 2,268 2,265 2,262 2,453 2,449 2,445 2,441 2,438 2,744 2,738 2,733 2,728 2,724 3,633 3,622 3,611 3,601 3,591 36 37 38 39 40 0,127 0,127 0,127 0,126 0,126 0,255 0,255 0,255 0,255 0,255 0,388 0,388 0,388 0,388 0,388 0,529 0,529 0,529 0,529 0,529 0,681 0,681 0,681 0,681 0,681 0,852 0,851 0,851 0,851 0,851 1,052 1,051 1,051 1,050 1,050 1,306 1,305 1,304 1,304 1,303 1,688 1,687 1,686 1,685 1,684 1,742 1,741 1,740 1,739 1,737 1,802 1,800 1,799 1,798 1,796 1,867 1,866 1,864 1,863 1,862 1,942 1,940 1,939 1,937 1,936 2,028 2,026 2,024 2,023 2,021 2,131 2,129 2,127 2,125 2,123 2,260 2,257 2,255 2,252 2,250 2,434 2,431 2,429 2,426 2,423 2,719 2,715 2,712 2,708 2,704 3,582 3,574 3,566 3,558 3,551 41 42 43 44 45 0,126 0,126 0,126 0,126 0,126 0,255 0,255 0,255 0,255 0,255 0,388 0,388 0,388 0,388 0,388 0,529 0,528 0,528 0,528 0,528 0,681 0,680 0,680 0,680 0,680 0,850 0,850 0,850 0,850 0,850 1,050 1,049 1,049 1,049 1,049 1,303 1,302 1,302 1,301 1,301 1,683 1,682 1,681 1,680 1,679 1,736 1,735 1,734 1,734 1,733 1,795 1,794 1,793 1,792 1,791 1,860 1,859 1,858 1,857 1,856 1,934 1,933 1,932 1,931 1,929 2,020 2,018 2,017 2,015 2,014 2,121 2,120 2,118 2,116 2,115 2,248 2,246 2,244 2,243 2,241 2,421 2,418 2,416 2,414 2,412 2,701 2,698 2,695 2,692 2,690 3,544 3,538 3,532 3,526 3,520 46 47 48 49 50 0,126 0,126 0,126 0,126 0,126 0,255 0,255 0,255 0,255 0,255 0,388 0,388 0,388 0,388 0,388 0,528 0,528 0,528 0,528 0,528 0,680 0,680 0,680 0,680 0,679 0,850 0,849 0,849 0,849 0,849 1,048 1,048 1,048 1,048 1,047 1,300 1,300 1,299 1,299 1,299 1,679 1,678 1,677 1,677 1,676 1,732 1,731 1,730 1,730 1,729 1,790 1,789 1,789 1,788 1,787 1,855 1,854 1,853 1,852 1,852 1,928 1,927 1,926 1,925 1,924 2,013 2,012 2,011 2,010 2,009 2,114 2,112 2,111 2,110 2,109 2,239 2,238 2,237 2,235 2,234 2,410 2,408 2,407 2,405 2,403 2,687 2,685 2,682 2,680 2,678 3,515 3,510 3,505 3,500 3,496 51 52 53 54 55 k 0,126 0,126 0,126 0,126 0,126 0,900 0,255 0,255 0,255 0,255 0,255 0,800 0,387 0,387 0,387 0,387 0,387 0,700 0,528 0,528 0,528 0,528 0,527 0,600 0,679 0,679 0,679 0,679 0,679 0,500 0,849 0,849 0,848 0,848 0,848 0,400 1,047 1,047 1,047 1,046 1,046 0,300 1,298 1,298 1,298 1,297 1,297 0,200 1,675 1,675 1,674 1,674 1,673 0,100 1,728 1,728 1,727 1,726 1,726 0,090 1,786 1,786 1,785 1,784 1,784 0,080 1,851 1,850 1,849 1,849 1,848 0,070 1,924 1,923 1,922 1,921 1,920 0,060 2,008 2,007 2,006 2,005 2,004 0,050 2,108 2,107 2,106 2,105 2,104 0,040 2,233 2,231 2,230 2,229 2,228 0,030 2,402 2,400 2,399 2,397 2,396 0,020 2,676 2,674 2,672 2,670 2,668 0,010 3,492 3,488 3,484 3,480 3,476 0,001 k 56 57 58 59 60 0,900 0,126 0,126 0,126 0,126 0,126 0,800 0,255 0,255 0,255 0,254 0,254 0,700 0,387 0,387 0,387 0,387 0,387 0,600 0,527 0,527 0,527 0,527 0,527 0,500 0,679 0,679 0,679 0,679 0,679 0,400 0,848 0,848 0,848 0,848 0,848 0,300 1,046 1,046 1,046 1,046 1,045 0,200 1,297 1,297 1,296 1,296 1,296 0,100 1,673 1,672 1,672 1,671 1,671 0,090 1,725 1,725 1,724 1,724 1,723 0,080 1,783 1,782 1,782 1,781 1,781 0,070 1,847 1,847 1,846 1,845 1,845 0,060 1,920 1,919 1,918 1,918 1,917 0,050 2,003 2,002 2,002 2,001 2,000 0,040 2,103 2,102 2,101 2,100 2,099 0,030 2,227 2,226 2,225 2,224 2,223 0,020 2,395 2,394 2,392 2,391 2,390 0,010 2,667 2,665 2,663 2,662 2,660 0,001 3,473 3,470 3,466 3,463 3,460 61 62 63 64 65 0,126 0,126 0,126 0,126 0,126 0,254 0,254 0,254 0,254 0,254 0,387 0,387 0,387 0,387 0,387 0,527 0,527 0,527 0,527 0,527 0,679 0,678 0,678 0,678 0,678 0,848 0,847 0,847 0,847 0,847 1,045 1,045 1,045 1,045 1,045 1,296 1,295 1,295 1,295 1,295 1,670 1,670 1,669 1,669 1,669 1,723 1,722 1,722 1,721 1,721 1,780 1,780 1,779 1,779 1,778 1,844 1,844 1,843 1,843 1,842 1,916 1,916 1,915 1,915 1,914 2,000 1,999 1,998 1,998 1,997 2,099 2,098 2,097 2,096 2,096 2,222 2,221 2,220 2,220 2,219 2,389 2,388 2,387 2,386 2,385 2,659 2,657 2,656 2,655 2,654 3,457 3,454 3,452 3,449 3,447 66 67 68 69 70 0,126 0,126 0,126 0,126 0,126 0,254 0,254 0,254 0,254 0,254 0,387 0,387 0,387 0,387 0,387 0,527 0,527 0,527 0,527 0,527 0,678 0,678 0,678 0,678 0,678 0,847 0,847 0,847 0,847 0,847 1,045 1,045 1,044 1,044 1,044 1,295 1,294 1,294 1,294 1,294 1,668 1,668 1,668 1,667 1,667 1,721 1,720 1,720 1,720 1,719 1,778 1,778 1,777 1,777 1,776 1,842 1,841 1,841 1,840 1,840 1,914 1,913 1,913 1,912 1,912 1,997 1,996 1,995 1,995 1,994 2,095 2,095 2,094 2,093 2,093 2,218 2,217 2,217 2,216 2,215 2,384 2,383 2,382 2,382 2,381 2,652 2,651 2,650 2,649 2,648 3,444 3,442 3,439 3,437 3,435 71 72 73 74 75 0,126 0,126 0,126 0,126 0,126 0,254 0,254 0,254 0,254 0,254 0,387 0,387 0,387 0,387 0,387 0,527 0,527 0,527 0,527 0,527 0,678 0,678 0,678 0,678 0,678 0,847 0,847 0,847 0,847 0,846 1,044 1,044 1,044 1,044 1,044 1,294 1,293 1,293 1,293 1,293 1,667 1,666 1,666 1,666 1,665 1,719 1,719 1,718 1,718 1,718 1,776 1,776 1,775 1,775 1,775 1,840 1,839 1,839 1,839 1,838 1,911 1,911 1,910 1,910 1,910 1,994 1,993 1,993 1,993 1,992 2,092 2,092 2,091 2,091 2,090 2,215 2,214 2,213 2,213 2,212 2,380 2,379 2,379 2,378 2,377 2,647 2,646 2,645 2,644 2,643 3,433 3,431 3,429 3,427 3,425 76 77 78 79 80 0,126 0,126 0,126 0,126 0,126 0,254 0,254 0,254 0,254 0,254 0,387 0,387 0,387 0,387 0,387 0,527 0,527 0,527 0,527 0,526 0,678 0,678 0,678 0,678 0,678 0,846 0,846 0,846 0,846 0,846 1,044 1,043 1,043 1,043 1,043 1,293 1,293 1,292 1,292 1,292 1,665 1,665 1,665 1,664 1,664 1,717 1,717 1,717 1,716 1,716 1,774 1,774 1,774 1,773 1,773 1,838 1,837 1,837 1,837 1,836 1,909 1,909 1,909 1,908 1,908 1,992 1,991 1,991 1,990 1,990 2,090 2,089 2,089 2,088 2,088 2,212 2,211 2,211 2,210 2,209 2,376 2,376 2,375 2,374 2,374 2,642 2,641 2,640 2,640 2,639 3,423 3,421 3,420 3,418 3,416 81 82 83 84 85 k 0,126 0,126 0,126 0,126 0,126 0,900 0,254 0,254 0,254 0,254 0,254 0,800 0,387 0,387 0,387 0,387 0,387 0,700 0,526 0,526 0,526 0,526 0,526 0,600 0,678 0,677 0,677 0,677 0,677 0,500 0,846 0,846 0,846 0,846 0,846 0,400 1,043 1,043 1,043 1,043 1,043 0,300 1,292 1,292 1,292 1,292 1,292 0,200 1,664 1,664 1,663 1,663 1,663 0,100 1,716 1,716 1,715 1,715 1,715 0,090 1,773 1,773 1,772 1,772 1,772 0,080 1,836 1,836 1,836 1,835 1,835 0,070 1,908 1,907 1,907 1,907 1,906 0,060 1,990 1,989 1,989 1,989 1,988 0,050 2,087 2,087 2,087 2,086 2,086 0,040 2,209 2,209 2,208 2,208 2,207 0,030 2,373 2,373 2,372 2,372 2,371 0,020 2,638 2,637 2,636 2,636 2,635 0,010 3,415 3,413 3,412 3,410 3,409 0,001 k 86 87 88 89 90 0,900 0,126 0,126 0,126 0,126 0,126 0,800 0,254 0,254 0,254 0,254 0,254 0,700 0,387 0,387 0,387 0,387 0,387 0,600 0,526 0,526 0,526 0,526 0,526 0,500 0,677 0,677 0,677 0,677 0,677 0,400 0,846 0,846 0,846 0,846 0,846 0,300 1,043 1,043 1,043 1,043 1,042 0,200 1,291 1,291 1,291 1,291 1,291 0,100 1,663 1,663 1,662 1,662 1,662 0,090 1,715 1,714 1,714 1,714 1,714 0,080 1,772 1,771 1,771 1,771 1,771 0,070 1,835 1,834 1,834 1,834 1,834 0,060 1,906 1,906 1,905 1,905 1,905 0,050 1,988 1,988 1,987 1,987 1,987 0,040 2,085 2,085 2,085 2,084 2,084 0,030 2,207 2,206 2,206 2,205 2,205 0,020 2,370 2,370 2,369 2,369 2,368 0,010 2,634 2,634 2,633 2,632 2,632 0,001 3,407 3,406 3,405 3,403 3,402 91 92 93 94 95 0,126 0,126 0,126 0,126 0,126 0,254 0,254 0,254 0,254 0,254 0,387 0,387 0,387 0,386 0,386 0,526 0,526 0,526 0,526 0,526 0,677 0,677 0,677 0,677 0,677 0,846 0,846 0,846 0,845 0,845 1,042 1,042 1,042 1,042 1,042 1,291 1,291 1,291 1,291 1,291 1,662 1,662 1,661 1,661 1,661 1,714 1,713 1,713 1,713 1,713 1,770 1,770 1,770 1,770 1,770 1,833 1,833 1,833 1,833 1,833 1,905 1,904 1,904 1,904 1,904 1,986 1,986 1,986 1,986 1,985 2,084 2,083 2,083 2,083 2,082 2,205 2,204 2,204 2,204 2,203 2,368 2,368 2,367 2,367 2,366 2,631 2,630 2,630 2,629 2,629 3,401 3,399 3,398 3,397 3,396 96 97 98 99 100 0,126 0,126 0,126 0,126 0,126 0,254 0,254 0,254 0,254 0,254 0,386 0,386 0,386 0,386 0,386 0,526 0,526 0,526 0,526 0,526 0,677 0,677 0,677 0,677 0,677 0,845 0,845 0,845 0,845 0,845 1,042 1,042 1,042 1,042 1,042 1,290 1,290 1,290 1,290 1,290 1,661 1,661 1,661 1,660 1,660 1,713 1,712 1,712 1,712 1,712 1,769 1,769 1,769 1,769 1,769 1,832 1,832 1,832 1,832 1,832 1,903 1,903 1,903 1,903 1,902 1,985 1,985 1,984 1,984 1,984 2,082 2,082 2,081 2,081 2,081 2,203 2,202 2,202 2,202 2,201 2,366 2,365 2,365 2,365 2,364 2,628 2,627 2,627 2,626 2,626 3,395 3,394 3,393 3,392 3,390 101 102 103 104 105 0,126 0,126 0,126 0,126 0,126 0,254 0,254 0,254 0,254 0,254 0,386 0,386 0,386 0,386 0,386 0,526 0,526 0,526 0,526 0,526 0,677 0,677 0,677 0,677 0,677 0,845 0,845 0,845 0,845 0,845 1,042 1,042 1,042 1,042 1,042 1,290 1,290 1,290 1,290 1,290 1,660 1,660 1,660 1,660 1,659 1,712 1,712 1,711 1,711 1,711 1,768 1,768 1,768 1,768 1,768 1,831 1,831 1,831 1,831 1,831 1,902 1,902 1,902 1,902 1,901 1,984 1,983 1,983 1,983 1,983 2,081 2,080 2,080 2,080 2,080 2,201 2,201 2,201 2,200 2,200 2,364 2,363 2,363 2,363 2,362 2,625 2,625 2,624 2,624 2,623 3,389 3,388 3,388 3,387 3,386 106 107 108 109 110 0,126 0,126 0,126 0,126 0,126 0,254 0,254 0,254 0,254 0,254 0,386 0,386 0,386 0,386 0,386 0,526 0,526 0,526 0,526 0,526 0,677 0,677 0,677 0,677 0,677 0,845 0,845 0,845 0,845 0,845 1,042 1,041 1,041 1,041 1,041 1,290 1,290 1,289 1,289 1,289 1,659 1,659 1,659 1,659 1,659 1,711 1,711 1,711 1,711 1,710 1,768 1,767 1,767 1,767 1,767 1,830 1,830 1,830 1,830 1,830 1,901 1,901 1,901 1,901 1,900 1,983 1,982 1,982 1,982 1,982 2,079 2,079 2,079 2,079 2,078 2,200 2,199 2,199 2,199 2,199 2,362 2,362 2,361 2,361 2,361 2,623 2,623 2,622 2,622 2,621 3,385 3,384 3,383 3,382 3,381 111 112 113 114 115 k 0,126 0,126 0,126 0,126 0,126 0,900 0,254 0,254 0,254 0,254 0,254 0,800 0,386 0,386 0,386 0,386 0,386 0,700 0,526 0,526 0,526 0,526 0,526 0,600 0,677 0,677 0,677 0,677 0,677 0,500 0,845 0,845 0,845 0,845 0,845 0,400 1,041 1,041 1,041 1,041 1,041 0,300 1,289 1,289 1,289 1,289 1,289 0,200 1,659 1,659 1,658 1,658 1,658 0,100 1,710 1,710 1,710 1,710 1,710 0,090 1,767 1,767 1,767 1,766 1,766 0,080 1,830 1,829 1,829 1,829 1,829 0,070 1,900 1,900 1,900 1,900 1,900 0,060 1,982 1,981 1,981 1,981 1,981 0,050 2,078 2,078 2,078 2,078 2,077 0,040 2,198 2,198 2,198 2,198 2,197 0,030 2,360 2,360 2,360 2,360 2,359 0,020 2,621 2,620 2,620 2,620 2,619 0,010 3,380 3,380 3,379 3,378 3,377 0,001